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<p>We compute observables of the critical 3d Ising model to high precision by applying the numerical conformal bootstrap to mixed correlators of the leading scalar operators <i>σ</i> and <i>ϵ</i>, and the stress tensor <i>T</i><sub><i>μν</i></sub>. We obtain new precise determinations of scaling dimensions (∆<sub><i>σ</i></sub>, ∆<sub><i>ϵ</i></sub>) = (0.518148806(24), 1.41262528(29)) as well as OPE coefficients involving <i>σ</i>, <i>ϵ</i>, and <i>T</i><sub><i>μν</i></sub>. We also describe several improvements made along the way to algorithms and software tools for the numerical bootstrap.</p>

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Bootstrapping the 3d Ising stress tensor

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月18日

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  • Cyuan-Han Chang,
  • Vasiliy Dommes,
  • Rajeev S. Erramilli,
  • Alexandre Homrich,
  • Petr Kravchuk,
  • Aike Liu,
  • Matthew S. Mitchell,
  • David Poland,
  • David Simmons-Duffin

摘要

We compute observables of the critical 3d Ising model to high precision by applying the numerical conformal bootstrap to mixed correlators of the leading scalar operators σ and ϵ, and the stress tensor Tμν. We obtain new precise determinations of scaling dimensions (∆σ, ∆ϵ) = (0.518148806(24), 1.41262528(29)) as well as OPE coefficients involving σ, ϵ, and Tμν. We also describe several improvements made along the way to algorithms and software tools for the numerical bootstrap.